Problem Statement

K is at a certain ramen shop.
This shop sells ramen (before tax) priced at $1円,2円,3円,\dots,(10^9-1)円,10^9円$. More precisely, ramen is sold at every positive integer price from $1$ yen to $10^9$ yen, inclusive.
This shop has two consumption tax rates, $P\%,\ Q\%$. For a ramen priced at $x$ yen, you must pay $\left \lfloor \left(1+\frac{P}{100}\right)x \right \rfloor$ yen when eating in the shop, and $\left \lfloor \left(1+\frac{Q}{100}\right)x \right \rfloor$ yen when taking it out to eat ($\lfloor \cdot \rfloor$ means truncating the fractional part).
Furthermore, when taking it out, you apparently must pay a takeout container fee of $A$ yen in addition to the tax-included price of the ramen. No tax is charged on this container fee.

K wants to buy one ramen and eat it in the shop, and will choose one that satisfies the following condition.

• The total cost of eating in the shop is lower than the total cost of taking it home to eat.

Input

P Q A

The first line contains the tax rates $P,Q$ and the container fee $A$, separated by spaces.

Constraints

• $0 \le P,Q \lt 100$
• $0 \le A \le 10000$
• All inputs are integers.

Output

Output the total number of ramen K can choose among the $10^9$ kinds.
Print a newline at the end.

Sample

20 0 10

49

10 8 30

1473